HAL Programme: La Ecuacion Unificada — Z3 Coherential Gauge Unification v3

Unified gauge equation of the HAL coherential framework: Z_unif = Z_moduli x Z_EW x Z_EM = 1. Electromagnetic sector [CLOSED]: alpha_em = (2pi/27)exp(-6*gamma_E), 0.10% error. Moduli sector [SCHEME]: K_HAL=92/27 convention, 0.0045% error; formal proof open. Electroweak sector [SCHEME]: sin^2(theta_W) = 32*alpha_em - 1/432 = 0.231200, 0.11% vs PDG; algebraic observation, not formal derivation. Unifying object: Z3 group in V_top = -cos(3*phi). Four formal proofs (ADHM pushforward, variational 1/432, adjoint determinant, CQ+SM coupling) remain open and are identified explicitly. All result statuses stated explicitly: CERRADO / ESQUEMA / ABIERTO.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20970855
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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preprint

HAL Programme: La Ecuacion Unificada — Z3 Coherential Gauge Unification v3

Mordecai Gavila Alvarez
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

HAL Programme: La Ecuacion Unificada — Z3 Coherential Gauge Unification v3

Mordecai Gavila Alvarez
preprint en

Abstract

Unified gauge equation of the HAL coherential framework: Z_unif = Z_moduli x Z_EW x Z_EM = 1. Electromagnetic sector [CLOSED]: alpha_em = (2pi/27)exp(-6*gamma_E), 0.10% error. Moduli sector [SCHEME]: K_HAL=92/27 convention, 0.0045% error; formal proof open. Electroweak sector [SCHEME]: sin^2(theta_W) = 32*alpha_em - 1/432 = 0.231200, 0.11% vs PDG; algebraic observation, not formal derivation. Unifying object: Z3 group in V_top = -cos(3*phi). Four formal proofs (ADHM pushforward, variational 1/432, adjoint determinant, CQ+SM coupling) remain open and are identified explicitly. All result statuses stated explicitly: CERRADO / ESQUEMA / ABIERTO.

Zenodo (CERN European Organization for Nuclear Research)
Valencia Catholic University Saint Vincent Martyr (ES)
Quantum and Classical Electrodynamics
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